Sassy is out now! Ever need to search for approximate matches of short DNA strings? Sassy is the tool to use! Available now wherever you get your code With @rickbitloo.bsky.social curiouscoding.nl/papers/sassy... github.com/ragnarGrootK...
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We briefly looked into that! Especially it's relevant for CRISPR where the penalty of indels is actually super high. From a theoretical perspectice, FFT gives O(n*lg(m)), and combinatorially it's O(n*sqrt(m)). 1/ projects.lsv.ens-paris-saclay.fr/confsrentree...
projects.lsv.ens-paris-saclay.frprojects.lsv.ens-paris-saclay.fr
Didn't look much into implementations yet. FFT is unlikely to be competitive, but O(n*sqrt(m)) is probably not better than O(n*k) either (just the top O(k) rows). There are a few recent papers using SIMD, but for now my feeling is that the bitpacking for edit distance is very competitive.
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